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Optics & Laser Technology

True random bit generator based on optoelectronic oscillator with randomly distributed feedback

Ruihuan Wu, Ziyang Wang, Zhengkang Wang, Bo Li, Hongzhan Liu

Published Apr 13, 2024• 11 citations
Publisher
DOI
10.1016/j.optlastec.2024.111008

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We experimentally demonstrate Tb/s fast random bit generation from random signals generated in a broadband random optoelectronic oscillator. The broadband random optoelectronic oscillator is used as photoelectron entropy source to generate wideband random signal. We sample the random waveform with a resolution of 10 bits and a sampling rate of 128 GS/s. All 10 bits can be preserved and a generation rate of 2.5 Tb/s (128 GS/s$\times 10bits10 bits10bits\times $2 data) is achieved by using time-shift bit-order-reverse bitwise exclusive-or operation as a more complicated post-processing method. The randomness of random bit sequences is verified by using NIST Special Publication 800–22 statistical tests.
Random numbers play a vital role in communications and cryptography. However, most existing true random number generators have difficulty in satisfying the requirements of high-speed communications due to their complexity and bulkiness, or low speed limitations due to equipment bandwidth. Then, the all-electron true random number generator was presented based on GaAs/Al0.45Ga0.55As superlattices conducted under direct current bias at room temperature, which not only possesses the characteristics of miniaturization but also generates random numbers at rates up to the Gbit/s. However, the bit rate of random number generators based on superlattices is still much slower compared to chaotic laser random number generators. In order to generate higher-rate random numbers, we modified a DC-excited superlattice and then redirected the signal generated by the superlattice back into itself, thus introducing a self-feedback, and achieved a self-feedback superlattice true random number generator. This improvement makes the superlattice have a more detailed signal shape, a more effective signal amplitude, and with lower power consumption. Therefore, these advances made the self-feedback superlattice more suitable for generating random numbers. Moreover, we propose a new post-processing method, called the adjacent bits reversal exclusive-or. This method can reduce the sequence bias and correlation without discarding any random bit. The random number obtained by the self-feedback superlattice at a sampling rate of 10 GS/s passed the triple standard deviation test and the random number standard test (NIST SP 800-22), indicating that it possessed good statistical properties as a miniaturized random number generator.